Puzzler: Words containing "hh"

Here is a fun one:

“I have a cherry cart.”

There is a slightly different way of saying it when “cherry” is an adjective (as in cherry-colored or made of cherry wood), as opposed to an “attributive noun”. At least in mainstream U.S. pronunciation; I’m not sure of other dialects. Can you figure out the difference?

No fair looking it up! I suspect it might be easier for people who learned English as a foreign language, because we never covered this in my U.S. public school.